- #1

- 21

- 0

_{2}[tex]\oplus[/tex]Z

_{2}

Q2)if a^2=e [tex]\forall[/tex] a in G then g is abelian (solve)

- Thread starter hashimcom
- Start date

- #1

- 21

- 0

Q2)if a^2=e [tex]\forall[/tex] a in G then g is abelian (solve)

- #2

- 135

- 0

For (q2) think of the fact that since a*a=e, for all a in G, a is it's own inverse.

- #3

- 21

- 0

please clearlly more

i dont under stand

i dont under stand

- #4

- 21

- 0

first qustion i dont understand it????

- #5

- 623

- 0

What do elements look like for your first group?

- #6

- 623

- 0

- #7

- 135

- 0

confirm

- #8

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 956

First, do you understand that you are expected to make some effort of your own and show your work so we will know what kind of suggestions to make?_{2}[tex]\oplus[/tex]Z_{2}

Q2)if a^2=e [tex]\forall[/tex] a in G then g is abelian (solve)

For example, what are the members of Z

- #9

- 21

- 0

o(ab) = o(ba)

o(cac^-1) =o(a)

for all a,b,c in G

note that G not abelian???????

- #10

- 623

- 0

- #11

- 21

- 0

Q3)if Gis afinite group of even order, then G contains an element (a) not equal zero s.t.

a^2= e

a^2= e

- #12

- 21

- 0

o(a)= p,o(b) = q show that G is cyclic

- #13

- 623

- 0

- #14

- 21

- 0

these question i want to solve it for my homework

and for my searching ...

its very important for me

- #15

morphism

Science Advisor

Homework Helper

- 2,015

- 4

This forum is not a place where you can get your work done for you. However, if you show some effort, then people will help you out.

- #16

- 623

- 0

I am not sure what's confusing you. This is not a forum to get answers and/or have others do your homework for you. You should ask the question, which we figured out you can do, and then show what YOU would do to solve it. YOU have to show effort, since they are YOUR problems. WE, on the other hand, will offer you hints, suggestions, etc. but YOU should be the one doing the research by reading your book, going to your library, etc. and learning. At the very least you should know definitions which it does not seem you do or are reluctant to post them for some reason.????

- Replies
- 1

- Views
- 2K

- Replies
- 2

- Views
- 2K

- Replies
- 22

- Views
- 6K

- Replies
- 6

- Views
- 3K